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Question

Which of the following is/are necessary and sufficient condition(s) for pure translation?


A

The relative position of particles of the body does not change with time.

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B

Velocities of all the particles are parallel to each other at any given instant.

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C

A body always remains parallel to itself throughout its motion.

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D

Velocities of all the points of the body at any instant of time are equal.

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Solution

The correct options are
A

The relative position of particles of the body does not change with time.


B

Velocities of all the particles are parallel to each other at any given instant.


C

A body always remains parallel to itself throughout its motion.


D

Velocities of all the points of the body at any instant of time are equal.


Thethree most basic criteria are

a) All the particles of the body have same velocity v at any instant.

b) Body should be parallel to itself throughout the motion.

c) Velocities of all the particles at any instant are equal.

Also a rigid body (rigid in the given condition throughout its motion) will only satisfy the above mentioned criteria.


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